POISSON STABLE MOTIONS OF MONOTONE AND STRONGLY SUB-LINEAR NON-AUTONOMOUS DYNAMICAL SYSTEMS

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2023

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Hybrid & Monthly

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This paper is dedicated to the study of the problem of existence of Poisson stable (Bohr/Levitan almost periodic, almost automorphic, almost recurrent, recurrent, pseudo periodic, pseudo recurrent and Poisson stable) motions of monotone sub-linear non-autonomous dynamical systems. The main results we establish in the framework of general non-autonomous (cocycle) dynamical systems. We apply our general results to the study of the problem of existence of different classes Poisson stable solutions of some types of non-autonomous evolutionary equations (Ordinary Differential Equations, Functional-Differential Equations with finite delay and Difference Equations).

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CHEBAN, David. Poisson stable motions of monotone and strongly sub-linear non-autonomous dynamical systems. In: Discrete and Continuous Dynamical Systems- Series A. 2023, nr. 2(43), pp. 895-947. ISSN 1078-0947.

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